典型文献
NUMERICAL ANALYSIS OF A PROBLEM INVOLVING A VISCOELASTIC BODY WITH DOUBLE POROSITY
文献摘要：
We study from a numerical point of view a multidimensional problem involving a vis-coelastic body with two porous structures.The mechanical problem leads to a linear system of three coupled hyperbolic partial differential equations.Its corresponding varia-tional formulation gives rise to three coupled parabolic linear equations.An existence and uniqueness result,and an energy decay property,are recalled.Then,fully discrete approx-imations are introduced using the finite element method and the implicit Euler scheme.A discrete stability property and a priori error estimates are proved,from which the linear convergence of the algorithm is derived under suitable additional regularity conditions.Finally,some numerical simulations are performed in one and two dimensions to show the accuracy of the approximation and the behaviour of the solution.
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作者姓名：
Noelia Bazarra;José R.Fernández;MariCarme Leseduarte;Antonio Maga?a;Ramón Quintanilla
作者机构：
Departamento de Matemática Aplicada I,Universidade de Vigo,ETSI Telecomunicación,Campus As Lagoas Marcosende s/n,36310 Vigo,Spain;Departamento de Matemáticas,E.S.E.I.A.A.T.-U.P.C.,Colom 11,08222 Terrassa,Barcelona,Spain
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引用格式：
[1]Noelia Bazarra;José R.Fernández;MariCarme Leseduarte;Antonio Maga?a;Ramón Quintanilla-.NUMERICAL ANALYSIS OF A PROBLEM INVOLVING A VISCOELASTIC BODY WITH DOUBLE POROSITY)[J].计算数学（英文版）,2022(03):415-436
A类：
NUMERICAL,ANALYSIS,PROBLEM,INVOLVING,VISCOELASTIC,POROSITY,coelastic,imations
B类：
OF,BODY,WITH,DOUBLE,We,study,from,numerical,point,view,multidimensional,problem,involving,vis,body,two,porous,structures,mechanical,leads,linear,system,three,coupled,hyperbolic,partial,differential,equations,Its,corresponding,varia,formulation,gives,rise,parabolic,An,existence,uniqueness,result,energy,decay,property,are,recalled,Then,fully,discrete,introduced,using,finite,element,method,implicit,Euler,scheme,stability,priori,error,estimates,proved,which,convergence,algorithm,derived,under,suitable,additional,regularity,conditions,Finally,some,simulations,performed,one,dimensions,show,accuracy,approximation,behaviour,solution
AB值：
0.651585
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